1.
Simplify (7
a
4
b
) (8
a
7
b
6
).
A.
56
a
28
b
6
B.
56
a
11
b
7
C.
15
a
28
b
6
D.
15
a
11
b
7
Hint
2.
Simplify (4
x
2
y
) (2
x
y
2
z
3
)
3
.
A.
24
x
5
y
7
z
9
B.
32
x
6
y
6
z
9
C.
32
x
5
y
7
z
9
D.
8
x
5
y
7
z
9
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
4.
The area of the rectangle shown below is 4
x
3
y
2
, and its base
b
is 2
x
5
y
. Find the height,
h
.
A.
B.
2
x
2
y
C.
8
x
8
y
3
D.
Hint
5.
Express 765,000,000,000 in scientific notation.
A.
7.65 × 10
10
B.
7.65 × 10
-11
C.
7.65 × 10
11
D.
0.765 × 10
12
Hint
6.
What is the degree of 4
x
5
– 5
xy
4
+ 3
xy
2
– 1?
A.
3
B.
0
C.
5
D.
4
Hint
7.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
4
xy
2
– 7
xy
– 3
B.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
C.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
Hint
8.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
a
= -2
B.
C.
a
= -6
D.
a
= -1
Hint
9.
Find (5
t
2
- 2
w
)
2
A.
25
t
4
– 4
w
2
B.
25
t
4
– 20
t
2
w
+ 4
w
2
C.
25
t
4
+ 4
w
2
D.
25
t
4
– 10
t
2
w
+ 4
w
2
Hint
10.
Express 4.67 × 10
-7
in standard notation.
A.
46,700,000
B.
0.0000000467
C.
0.00000467
D.
0.000000467
Hint
11.
Write a polynomial to represent the area of a square with a side
x
minus the area of a triangle with a base 2
x
and a height of 5.
A.
x
2
– 5
x
B.
x
2
– 10
x
C.
x
2
– 2
x
+ 5
D.
4
x
Hint
12.
Anthony and Sanford each throw a football. The height of Anthony's throw can represented by the equation
A
= –10
x
2
+ 15
x
+ 22, where
A
is height and
x
is the time in seconds. The height of Sanford's throw can represented by the equation
S
= –9
x
2
+ 14
x
+ 23. At time
x
, what is the combined height of the throws?
A.
–
x
2
+
x
– 1
B.
19
x
2
+ 29
x
+ 45
C.
–19
x
2
+ 29
x
+ 45
D.
x
2
–
x
+ 1
Hint
13.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 12
x
3
+ 8
x
2
B.
–4
x
2
– 7
x
+ 8
C.
–4
x
2
– 12
x
+ 8
D.
–4
x
4
– 7
x
3
+ 8
x
2
Hint
14.
Find the product (2
x
- 3)(2
x
2
+ 5
x
- 1).
A.
4
x
3
+ 4
x
2
– 17
x
+ 3
B.
8
x
2
– 17
x
+ 3
C.
4
x
3
+ 4
x
2
– 17
x
– 3
D.
8
x
2
– 17
x
– 3
Hint
15.
Find the product (
x
2
– 3
x
+6)(2
x
2
+ 3
x
+ 4).
A.
2
x
4
– 3
x
3
+ 7
x
2
+ 6
x
+ 24
B.
2
x
4
– 3
x
3
– 5
x
2
+ 6
x
+ 24
C.
2
x
4
+ 3
x
3
+ 7
x
2
+ 6
x
+ 24
D.
2
x
4
+ 3
x
3
– 5
x
2
+ 6
x
+ 24
Hint
16.
Which of the following is a difference of two squares?
A.
x
2
+ 6x + 9
B.
x
2
– 9
C.
x
2
+ 36
D.
x
2
– 8
x
– 16
Hint